6945582336 has 288 divisors, whose sum is σ = 23404028928. Its totient is φ = 1776107520.

The previous prime is 6945582257. The next prime is 6945582337. The reversal of 6945582336 is 6332855496.

It is a super-2 number, since 2×6945582336² = 96482227972310433792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6945582337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3961236 + ... + 3962988.

Almost surely, 2^6945582336 is an apocalyptic number.

6945582336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6945582336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11702014464).

6945582336 is an abundant number, since it is smaller than the sum of its proper divisors (16458446592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6945582336 is a wasteful number, since it uses less digits than its factorization.

6945582336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1843 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The square root of 6945582336 is about 83340.1604030134. The cubic root of 6945582336 is about 1907.9612700848.

The spelling of 6945582336 in words is "six billion, nine hundred forty-five million, five hundred eighty-two thousand, three hundred thirty-six".